Research Article | OPEN ACCESS
Discontinuity of Gas-dynamic Variables in the Center of the Compression Wave
Pavel Viktorovich Bulat and Mikhail Pavlovich Bulat
Saint-Petersburg National Research University of Information Technologies, Mechanics and Optics, Kronverksky pr. 49, Saint-Petersburg 197101, Russia
Research Journal of Applied Sciences, Engineering and Technology 2014 23:2343-2349
Received: September 22, 2014 | Accepted: November 10, 2014 | Published: December 20, 2014
Abstract
The purpose of research-the study of the flow in the center of the centered isentropic compression waves. Gas-dynamic discontinuities cover shocks, shockwaves, interfaces and sliding surfaces and also the center of the centered compression wave one-dimensional and two-dimensional. For a long time there has been no analysis of the shockwave structures arising in the center of compression waves. At the same time, the problem of development of supersonic and hypersonic air inlets demands to consider the process of the stream isentropic compression. This problem is connected (three-dimensional case) to the problem of arising inside the streams of hinged shocks as opposite to the usual discontinuities not resulted by interaction of supersonic streams, waves and discontinuities, but like from nowhere. This study sets the problem for study in the terms of the developed theory of the interference of gas-dynamic discontinuities of the area of existing solutions for the structures of possible types. We have obtained the relations describing the parameters in the center of the compression wave. We have considered the neutral polar of neither compression meeting the case when in the center of the compression wave there neither shocks nor depression waves. The analysis of properties of the centered compression wave adds to the theory of stationary gas-dynamic discontinuities. We have specified the borders of the shock structure existence area optimal for development of supersonic diffusers.
Keywords:
Centered compression wave, compression polar, isentropic compression, shockwave structure, shockwave, shock,
References
-
Bulat, M.P. and P.V. Bulat, 2013. The analysis centric isentropic compression waves. World Appl. Sci. J., 27(8): 1023-1026.
-
Bulat, P.V., O.N. Zasukhin and V.N. Uskov, 1993. Formation of a Jet during the Laval Nozzle Smooth Start. In: Dulov, V.G. (Ed.), ICH: Gas Flow in Channels and Jets. Publishing House SPbGU, SPb, pp: 3-22.
-
Hugoniot, H., 1889. Propagation du mouvementdans les corps. Chapitre V. Sur les discontinuit ´es qui se manifestentdans la propagation du movement. J. l'E ´colePolytechnique, cahier LVIII, pp: 68-125.
-
Mayer, T., 1908. Uber zweidimensionale Bewegungsvorgange in einem Gas, das mit Uberschallgeschwindigkeit strömt. Ph.D. Thesis, Georg-August Uni-versitat, Gottingen.
-
Rankine, W.J.M., 1869. On the thermodynamic theory of waves of finite longitudinal disturbance. P. R. Soc. London, 18(115): 80-83.
CrossRef
-
Rankine, W.J.M., 1870a. On the thermodynamic theory of waves of finite longitudinal disturbance. Philos. Mag., 4(39): 306-309.
CrossRef
-
Rankine, W.J.M., 1870b. On the thermodynamic theory of waves of finite longitudinal disturbance. Philos. T. R. Soc. Lond., 160(1870): 277-288.
CrossRef
-
Riemann, B., 1860. Ueber die Fortpflanzung ebener Luftwellen von endlicher Schwingungsweite. Abhandlungen der Königlichen Gesellschaft der Wissenschaften zu Göttingen, 8: S. 43.
-
Stokes, G.G., 1848. On a difficulty in the theory of sound. Philos. Mag., 3(33): 349-356.
-
Uskov, V.N. and A.L. Starykh, 1990. Analysis of the areas of solutions for the equation of stationary gas-dynamic discontinuities interference. Sb. Non-stationary Gas Streams with Shockwaves, pp: 359-372.
-
Uskov, V.N., A.L. Adrianov and A.L. Starykh, 1995. Interference of Stationary Gas-dynamic Discontinuities. Novosibirsk: VO Nauka, pp: 180.
CrossRef
-
Uskov, V.N. and M.V. Chernishev, 2006a. Differential characteristics of the flow field in a plane over expanded jet in the vicinity of the nozzle lip. J. Appl. Mech. Tech. Phy., 47(3): 366-367.
CrossRef
-
Uskov, V.N. and M.V. Chernishev, 2008. Differential parametrs of incident shock near the nozzle Lip in the over-expanded jet. Proceeding of 18th International Shock Interaction Symposium, pp: 109-112.
-
Uskov, V.N. and P.V. Bulat, 2012. About the problem of ideal diffuser for compression of supersonic stream. J. Basic Res., 6(1): 178-184.
-
Von Helmholtz, H.L.F., 1868. Monatsberichte der Preußischen Academie der Wisszu Berlin, Bd. 23: S. 215-228. [Russian translation: H/Helmholtz Fundamental Vortex Theory, translated from German, edited by Chaplygin, S.A., Moscow, Izhevsk, 2002, pp: 41-51].
Competing interests
The authors have no competing interests.
Open Access Policy
This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
Copyright
The authors have no competing interests.
|
|
![](http://www.maxwellsci.com/images/RJASET-maxw.jpg) |
ISSN (Online): 2040-7467
ISSN (Print): 2040-7459 |
![Submit Manuscript](../images/sub.jpg) |
Information |
|
|
|
Sales & Services |
|
|
|